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JAMB Mathematics 2002 Question 33

Question 33

Mensuration of Solids

A bucket is 12cm in diameter at the top, 8cm in diameter at the bottom and 4cm deep. Calculate its volume.

  1. A.(304/3)πcm3
  2. B.144πcm3
  3. C.(128/3)πcm3
  4. D.72πcm3
Show the answer and explanation

Answer: A ((304/3)πcm3)

Explanation

The bucket is a frustum with radii 6 and 4 and height 4. V = (πh/3)(R2 + Rr + r2) = (4π/3)(36 + 24 + 16) = 304π/3 cm3.